What is the Greatest Common Factor of 84465 and 84470?

Greatest common factor (GCF) of 84465 and 84470 is 5.

GCF(84465,84470) = 5

We will now calculate the prime factors of 84465 and 84470, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84465 and 84470.

How to find the GCF of 84465 and 84470?

We will first find the prime factorization of 84465 and 84470. After we will calculate the factors of 84465 and 84470 and find the biggest common factor number .

Step-1: Prime Factorization of 84465

Prime factors of 84465 are 3, 5, 1877. Prime factorization of 84465 in exponential form is:

84465 = 3² × 5¹ × 1877¹

Step-2: Prime Factorization of 84470

Prime factors of 84470 are 2, 5, 8447. Prime factorization of 84470 in exponential form is:

84470 = 2¹ × 5¹ × 8447¹

Step-3: Factors of 84465

List of positive integer factors of 84465 that divides 84465 without a remainder.

1, 3, 5, 9, 15, 45, 1877, 5631, 9385, 16893, 28155

Step-4: Factors of 84470

List of positive integer factors of 84470 that divides 84465 without a remainder.

1, 2, 5, 10, 8447, 16894, 42235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84465 and 84470. The biggest common factor number is the GCF number.
So the greatest common factor 84465 and 84470 is 5.

Also check out the Least Common Multiple of 84465 and 84470